Coefficient — Grade 7 Accelerated, what it means and where it is taught
The number multiplying a variable — the 3 in 3n.
Taught in Grade 7 Accelerated.
Where it is taught
- Representing Other Algebraic Relationships
- Operations with Scientific Notation
- Expressions, Structure & Units
- Expressions & Order of Operations
What uses it later
This idea is needed for:
- Augmented matrix — The coefficients with the constants attached as a final column.
- Binomial theorem — The rule expanding (a+b)n using combinations as coefficients.
Practise this idea
17 questions in the course bank use Coefficient, in Multi-Step Equations, Expressions, Structure & Units, Slope & the Forms of a Line, Radians & the Unit Circle, Graphs of Sine & Cosine, Matrices & Systems. The first 8 are below; the rest are in those units.
Problem 1
Solve 9 - 4x = 2x - 15.
Worked answer
4
9 = 6x - 15
24 = 6x
x = 4
Problem 2
What is the coefficient of x in 9 - 5x?
Worked answer
-5
The term is -5x
So the coefficient is -5
Problem 3
Write y = 23x - 4 in standard form Ax + By = C with integer coefficients.
Worked answer
2x - 3y = 12
3y = 2x - 12
2x - 3y = 12
Problem 4
Convert 180° to radians. Give the coefficient of π.
Worked answer
1
180° = π radians
Problem 5
How many radians are there in a full turn? Give the coefficient of π.
Worked answer
2
2π
Problem 6
A circle of radius 6 has a central angle of π3. Find the arc length. Give the coefficient of π.
Worked answer
2
6 · π3=2π
Problem 7
Give the period of y=sin x. Use the coefficient of π.
Worked answer
2
2π
Problem 8
Give the period of y=sin(2x). Give the coefficient of π.
Worked answer
1
2π2=π